Question

1. Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. Y=-3/4x-2

A. Parallel
B. Perpendicular*
C. Neither

2. Write the equation of a line that is perpendicular to the given line and that passes through the given point. Y-3=-1/5 (x+2); (-2, 7)

A. y=5x+7
B. y=5+17
C. y=(1/5)x-2
D. y=-2x+3

Answer 1

Do you know at least to write a question?

1.

pair of equations

y = - 3 / 4 x - 2

What is the other equation?

2.

y = 5 + 17 ???


2.

y - 3 = - 1 / 5 ( x + 2 )

y - 3 = - 1 / 5 x + 2 / 5

Add 3 to both sides

y - 3 + 3 = - 1 / 5 x + 2 / 5 + 3

y = - 1 / 5 x + 2 / 5 + 3

y = - 1 / 5 x + 2 / 5 + 15 / 5

y = - 1 / 5 x + 17 / 5


y = m x + b

y = - 1 / 5 x + 17 / 5

m = - 1 / 5

A perpendicular line has a slope that is the negative reciprocal of this.

mp = - 1 / m = - 1 / ( - 1 / 5 ) = 5


You need the equation of the line through

( - 2 , 7 ) which means x = - 2 , y = 7

with slope 5

y = mp x + b

7 = 5 ∙ ( - 2 ) + b

7 = - 10 + b

Add 10 to both sides

7 + 10 = - 10 + b + 10

17 = b

b = 17

y = m x + b

y = 5 x + 17